To find the final score using matrix multiplication, we need to create a matrix containing the values for each scoring type (TD, FG, S, PAT) for each team:
Scoring matrix for Team A:
[6 3 2 1]
Scoring matrix for Team B:
[4 4 1 2]
We can then calculate the final score by multiplying these matrices:
Final Score = Scoring matrix for Team A x Scoring matrix for Team B
Final Score = [6 3 2 1] x [4 4 1 2]
Using matrix multiplication, the resulting matrix is:
Final Score = [6*4 + 3*4 + 2*1 + 1*2] = [24 + 12 + 2 + 2] = [40]
Therefore, the final score of the game is:
Team A: 40
Team B: 40
The table summarizes the scoring of a football game between Team A and Team B. A touchdown (TD) is worth 6 points, a field goal (FG) is worth 3 points, a safety (S) is worth 2 points, and a point after touchdown (PAT) is worth 1 point. Use matrix multiplication to find the final score.%0D%0A%0D%0A %09TD %09FG%09S%09PAT%0D%0A Team A%09 3%09 2%09 1%09 0%0D%0A Team B%09 4%09 4%09 1%09 2%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0ATeam A: 35%0D%0ATeam B: 36%0D%0ATeam A : 35 Team B : 36%0D%0A%0D%0ATeam A: 36%0D%0ATeam B: 39%0D%0ATeam A : 36 Team B : 39%0D%0A%0D%0ATeam A: 26%0D%0ATeam B: 40%0D%0ATeam A : 26 Team B : 40%0D%0A%0D%0ATeam A: 17%0D%0ATeam B: 38
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